Answer: Probability that a student chosen at random likes science given that he or she likes art is 58%
Step-by-step explanation:
Since we have given that
Probability that a student who likes art and science = 21%
Probability that a student who likes art = 36%
According to question,
we need to find the probability that a student chosen at random likes science given that he or she likes art.
So, we will use "Conditional Probability":
P(A) = 0.36
P(S ∩ A) = 0.21
Hence, Probability that a student chosen at random likes science given that he or she likes art is 58%.
Answer: 4 pounds of wooden blocks and 6 pounds of plastic bricks should be used.
Step-by-step explanation:
Let x = Quantity of wooden blocks.
y = Quantity of plastic bricks.
As per given , we ahve
5x+10y=80 (i)
x+y=10 (ii)
Multiply 5 on both sides of (ii), we get
5x+5y=50 (iii)
Eliminate (i) from (iii), we get
5y=30
⇒ y= 6
Put y=6 in (ii), we get
x+6=10
⇒ x= 10-6= 4
Hence, 4 pounds of wooden blocks and 6 pounds of plastic bricks should be used.
Well I think it's 10 hours and 20 minutes you just have to count the hours but subtract one hour because of lunch then add the remaining minutes.
Answer:
1.875 feet per wire
Step-by-step explanation:
15 divided by 8 equals 1.875
From the given data, we can generate two equations with two unknowns.
We let x = number of loaves of bread
y = number of batches of muffins
For the equation of the flour requirement:
17 = 3.5x + 2.5y
<span>For the equation of the sugar requirement:
</span>4.5 = 0.75x + 0.75y
We evaluate the solutions by manipulating one of the equations into terms of the other. We use the first equation.We write x in terms of y.
x = (4.5/0.75) - y
Substitute the third equation to the second equation.
17 = (3.5((4.5/0.75)-y)) + 2.5y
Evaluating y and x, we have,
y = 4 and x = 2
Thus, from the amounts she has in hand, she can make 4 loaves of bread and 2 batches of muffins.
